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211012221222 = 232113741702517
BaseRepresentation
bin1100010010000101001…
…1101111100100100110
3202011122210201111002200
43010201103233210212
511424123112034342
6240534312115330
721150036200145
oct3044123574446
9664583644080
10211012221222
1181542996a80
1234a8b695b46
1316b8a9353ca
14a2da85375c
15575012994c
hex31214ef926

211012221222 has 96 divisors (see below), whose sum is σ = 524730364704. Its totient is φ = 60697382400.

The previous prime is 211012221191. The next prime is 211012221271. The reversal of 211012221222 is 222122210112.

It is a happy number.

211012221222 is a `hidden beast` number, since 211 + 0 + 12 + 221 + 222 = 666.

211012221222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211012221195 and 211012221204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50893 + ... + 651624.

It is an arithmetic number, because the mean of its divisors is an integer number (5465941299).

Almost surely, 2211012221222 is an apocalyptic number.

211012221222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262365182352).

211012221222 is an abundant number, since it is smaller than the sum of its proper divisors (313718143482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211012221222 is a wasteful number, since it uses less digits than its factorization.

211012221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702614 (or 702611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211012221222 its reverse (222122210112), we get a palindrome (433134431334).

It can be divided in two parts, 211012 and 221222, that added together give a palindrome (432234).

The spelling of 211012221222 in words is "two hundred eleven billion, twelve million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 41 66 74 82 99 111 123 198 222 246 333 369 407 451 666 738 814 902 1221 1353 1517 2442 2706 3034 3663 4059 4551 7326 8118 9102 13653 16687 27306 33374 50061 100122 150183 300366 702517 1405034 2107551 4215102 6322653 7727687 12645306 15455374 23183061 25993129 28803197 46366122 51986258 57606394 69549183 77979387 86409591 139098366 155958774 172819182 233938161 259228773 285924419 316835167 467876322 518457546 571848838 633670334 857773257 950505501 1065718289 1715546514 1901011002 2131436578 2573319771 2851516503 3197154867 5146639542 5703033006 6394309734 9591464601 11722901179 19182929202 23445802358 35168703537 70337407074 105506110611 211012221222